arXiv subjects

D. K. Pradhan

Publications and source records attributed to D. K. Pradhan.

2 recordsLinked to original sources

arXiv2019

Sum of two maximal monotone operators in a general Banach space is maximal

In a real Banach space, we first prove that the sum of a monotone operator of type (FPV) and maximal monotone operator Rockafellar's constraint qualification is maximal. This prove leads to the solution of most interesting long-time outstanding problem in monotone operator theory is the sum problem.

math.FA↗

arXiv2019

Maximality of the sum of the monotone operator of type (FPV) and a maximal monotone operator

Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A.

math.FA↗